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E




Mathematica Notation

Traditional Notation









Constants > E > Continued fraction representations





http://functions.wolfram.com/02.05.10.0011.01









  


  








Input Form





1/(E - 2) == 1 + 1/(2 + 2/(3 + 3/(4 + 4/(5 + 5/(6 + 6/(7 + \[Ellipsis]))))))








Standard Form





Cell[BoxData[RowBox[List[" ", RowBox[List[FractionBox["1", RowBox[List["\[ExponentialE]", "-", "2"]]], "\[Equal]", " ", RowBox[List["1", "+", FractionBox["1", RowBox[List["2", "+", FractionBox["2", RowBox[List["3", "+", FractionBox[RowBox[List["3", " "]], RowBox[List["4", "+", FractionBox["4", RowBox[List["5", "+", FractionBox["5", RowBox[List["6", "+", FractionBox["6", RowBox[List["7", "+", "\[Ellipsis]"]]]]]]]]]]]]]]]]]]]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mfrac> <mn> 1 </mn> <mrow> <mi> &#8519; </mi> <mo> - </mo> <mn> 2 </mn> </mrow> </mfrac> <mo> &#10869; </mo> <mtext> </mtext> <mrow> <mn> 1 </mn> <mo> + </mo> <mfrac> <mn> 1 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 2 </mn> <mo> + </mo> <mfrac> <mn> 2 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 3 </mn> <mo> + </mo> <mfrac> <mrow> <mn> 3 </mn> <mtext> </mtext> </mrow> <mstyle scriptlevel='0'> <mrow> <mn> 4 </mn> <mo> + </mo> <mfrac> <mn> 4 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 5 </mn> <mo> + </mo> <mfrac> <mn> 5 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 6 </mn> <mo> + </mo> <mfrac> <mn> 6 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 7 </mn> <mo> + </mo> <mo> &#8230; </mo> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mfrac> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <exponentiale /> <cn type='integer'> -2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 2 </cn> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 3 </cn> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 4 </cn> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 5 </cn> <apply> <times /> <cn type='integer'> 5 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 6 </cn> <apply> <times /> <cn type='integer'> 6 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 7 </cn> <ci> &#8230; </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", FractionBox["1", RowBox[List["\[ExponentialE]", "-", "2"]]], "]"]], "\[RuleDelayed]", RowBox[List["1", "+", FractionBox["1", RowBox[List["2", "+", FractionBox["2", RowBox[List["3", "+", FractionBox["3", RowBox[List["4", "+", FractionBox["4", RowBox[List["5", "+", FractionBox["5", RowBox[List["6", "+", FractionBox["6", RowBox[List["7", "+", "\[Ellipsis]"]]]]]]]]]]]]]]]]]]]]]]]]


Date Added to functions.wolfram.com (modification date)





2001-10-29